127035216401 has 2 divisors, whose sum is σ = 127035216402. Its totient is φ = 127035216400.

The previous prime is 127035216367. The next prime is 127035216431. The reversal of 127035216401 is 104612530721.

It is a Cunningham number, because it is equal to 356420²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127035216400 + 1 = 356420^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127035216401 is a prime.

It is a super-2 number, since 2×127035216401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127035216431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63517608200 + 63517608201.

It is an arithmetic number, because the mean of its divisors is an integer number (63517608201).

Almost surely, 2^127035216401 is an apocalyptic number.

It is an amenable number.

127035216401 is a deficient number, since it is larger than the sum of its proper divisors (1).

127035216401 is an equidigital number, since it uses as much as digits as its factorization.

127035216401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 127035216401 in words is "one hundred twenty-seven billion, thirty-five million, two hundred sixteen thousand, four hundred one".